Reconstructions of $f(\mathcal{P})$ and $f(\mathcal{Q})$ gravity models from $(m,n)$-type Barrow Holographic Dark Energy: Analysis and Observational Constraints

Abstract

In this research, we have reconstructed the extended $f(\mathcal{P})$ cubic gravity and symmetric $f(\mathcal{Q})$ teleparallel gravity from the $(m,n)$-type Barrow Holographic Dark Energy (BHDE) model. We have derived the unknown functions $f(\mathcal{P})$ and $f(\mathcal{Q})$ in terms of $\mathcal{P}$ and $\mathcal{Q}$, assuming a flat, homogeneous, and isotropic universe. To constrain our model parameters, we employed cosmic chronometer datasets and Baryon Acoustic Oscillation datasets, utilizing Markov Chain Monte Carlo (MCMC) method. We analysed the behaviour and stability of each model throughout the universe's evolution by studying crucial parameters such as the deceleration parameter, equation of state (EoS) parameter ${\omega }_{DE}$, density parameter $\Omega (z)$ and the square of the speed of sound $v_s^2$. Additionally, we explored the cosmographic behaviour by plotting the jerk parameter, snap parameter, and lerk parameter against the redshift. Furthermore, we examined the ${\omega }_{DE}^{\prime }-{\omega }_{DE}$ phase plane, the $(r,s^{\ast })$, $(r,q)$ statefinder parameters, and the $Om(z)$ parameter offers profound revelations about the dynamics of the universe and the distinctive features of dark energy. Our analyses indicated that our model could produce a universe undergoing accelerated expansion with quintessence-type dark energy. These findings contribute to our understanding of the nature of dark energy and the evolution of the cosmos.

32 pages, 30 images. Comments are welcome

References in corpus (41)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• The Clustering of the SDSS DR7 Main Galaxy Sample I: A 4 per cent Distance Measure at z=0.15
• Modified teleparallel gravity: inflation without inflaton
• Raising the bar: new constraints on the Hubble parameter with cosmic chronometers at z$\sim$2
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Two new diagnostics of dark energy
• The teleparallel equivalent of general relativity
• A Dark Energy Model Characterized by the Age of the Universe
• A New Model of Agegraphic Dark Energy
• A Holographic Dark Energy Model from Ricci Scalar Curvature
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• The Completed SDSS-IV extended Baryon Oscillation Spectroscopic Survey: Baryon acoustic oscillations with Lyman-$\alpha$ forests
• Extended Gravity Cosmography
• Aspects of the cosmological "coincidence problem"
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• Energy Conditions in $f(Q)$ gravity
• Theoretical Models of Dark Energy
• Einsteinian cubic gravity
• Early and late universe holographic cosmology from a new generalized entropy
• Barrow entropic dark energy: A member of generalized holographic dark energy family
• Statefinder Diagnosis for Ricci Dark Energy
• Instability of agegraphic dark energy models
• Spherically symmetric configuration in $f(Q)$ gravity
• Comparing Equivalent Gravities: common features and differences
• Unifying Holographic Inflation with Holographic Dark Energy: a Covariant Approach
• Measuring the matter density using baryon oscillations in the SDSS
• DBI-essence
• Cosmology in cubic and $f(P)$ gravity
• Reconstruction of $\Lambda$CDM Universe in $f(Q)$ Gravity
• Reconstructing f(R) modified gravity from ordinary and entropy-corrected versions of the holographic and new agegraphic dark energy models
• Generalised DBI-Quintessence
• Geometrical Constraints on Dark Energy
• Statefinder parameters in two dark energy models
• Statefinder Analysis of Symmetric Teleparallel Cosmology
• Topological Static Spherically Symmetric vacuum Solutions in $\mathcal{F}(R,G)$ Gravity
• Reconstructions of $f(T)$ Gravity from Entropy Corrected Holographic and New Agegraphic Dark Energy Models in Power-law and Logarithmic Versions
• Statefinder Parameters for Five-Dimensional Cosmology
• Barrow holographic dark energy models in $f\left(Q\right)$ symmetric teleparallel gravity with Lambert function distribution

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